Paulo's Pizzeria sells personal pizzas that start at $7 for plain cheese. The pizzeria also offers a variety of toppings, all priced at $2 each.

Write an equation that shows how the price of a personal pizza, y, depends on the number of toppings, x.
Do not include dollar signs in the equation.
y=

1 answer

The equation that shows how the price of a personal pizza $ y $ depends on the number of toppings $ x $ can be written as:

\[ y = 7 + 2x \]

In this equation, $ 7 $ represents the base price for a plain cheese pizza, and $ 2x $ represents the additional cost for $ x $ toppings, with each topping costing $2.